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How do you find a mathematical domain?
The domain of a function is just all the x-values that have a corresponding y-value. Typically, you need to check for discontinuities or vertical asymptotes. For example, any x value that causes the denominator of a fraction to be 0 must be excluded from the domain, since you can't divide by 0. A simple case would be f(x) = 1 / x If x = 0 , the denominator is 0 and the function is undefined; all other values of x have a corresponding value for f(x), so the domain would be x < 0 and x > 0, or (-∞, 0) U (0, ∞). >>M.T.<<
What are the solutions for the quadratic equation x2 plus 6x equals 16?
x2 + 6x = 16=> x2 + 6x - 16 = 0=> x2 + 8x -2x - 16 = 0=> (x+8)(x-2) = 0=> x = -8 or x = 2So, the solutions of the quadratic equation x2 + 6x = 16 are -8 and 2.
What is the vertex for the parabola y equals x squared plus 4x plus 5?
The vertex of a parabola is the minimum or maximum value of the parabola. To find the maximum/minimum of a parabola complete the square: x² + 4x + 5 = x² + 4x + 4 - 4 + 5 = (x² + 4x + 4) + (-4 + 5) = (x + 2)² + 1 As (x + 2)² is greater than or equal to 0, the minimum value (vertex) occurs when this is zero, ie (x + 2)² = 0 → x + 2 = 0 → x = -2 As (x + 2)² = 0, the minimum value is 0 + 1 = 1. Thus the vertex of the parabola is at (-2, 1).
Approximation of sin x by x?
the value of sin(x) lies between -1 to +1. the approx value of sin(x)/x = 1 when x tends to 0 & sin(x)/x = 0 when x tends to infinity.
What is the value of x in the equation 32x - 16 equals 512?
If: 32x-16 = 512 Then: x = 16.5
